Well, if you did that then TERB's servers would actually have to keep all the pix you and other's have uploaded in their memory. They have enough trouble keeping all the inane —and wondrous—posts so that newbies can be scolded for not using Search.
So you upload the pic to a server that's in the pic biz and use a URL to tell peoples' 'puters where to go get it. Which they do in the blink of a gnat's eye. If you want to make it 'easier', just set up your 'puter as a server with a permanent IP addy, and be prepared for all the traffic.